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Let’s check out your problem:
Is
(
9
,
9
)
(9, 9)
(
9
,
9
)
a solution to the equation
y
=
x
y = x
y
=
x
?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
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Math Problems
Algebra 1
Does (x, y) satisfy the linear equation?
Full solution
Q.
Is
(
9
,
9
)
(9, 9)
(
9
,
9
)
a solution to the equation
y
=
x
y = x
y
=
x
?
\newline
Choices:
\newline
(A)yes
\newline
(B)no
Identify values:
Step
1
1
1
: Identify the values of
x
x
x
and
y
y
y
in the point
(
9
,
9
)
(9,9)
(
9
,
9
)
.
\newline
x
=
9
x = 9
x
=
9
\newline
y
=
9
y = 9
y
=
9
Substitute values:
Step
2
2
2
: Substitute the values into the equation
y
=
x
y = x
y
=
x
.
\newline
Substitute
9
9
9
for
x
x
x
and
9
9
9
for
y
y
y
in
y
=
x
y = x
y
=
x
.
\newline
Equation:
9
=
9
9 = 9
9
=
9
Check equation:
Step
3
3
3
: Check if the equation holds true.
\newline
Since
9
=
9
9 = 9
9
=
9
is a true statement, the point
(
9
,
9
)
(9, 9)
(
9
,
9
)
satisfies the equation
y
=
x
y = x
y
=
x
.
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\newline
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\newline
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